Z.J. Luo, C. R. Tang, B. Avitzur, C. J. Van Tyne. A Model for Simulation of Friction Phenomenon between Dies and Workpiece[J]. Applied Mathematics and Mechanics, 1984, 5(3): 323-335.
Citation: Z.J. Luo, C. R. Tang, B. Avitzur, C. J. Van Tyne. A Model for Simulation of Friction Phenomenon between Dies and Workpiece[J]. Applied Mathematics and Mechanics, 1984, 5(3): 323-335.

A Model for Simulation of Friction Phenomenon between Dies and Workpiece

  • Received Date: 1983-06-06
  • Publish Date: 1984-06-15
  • Based on the interaction of asperities and upperbound approach a mathematical model for simulation of friction phenomenon between dies and workpiece is proposed. Optimizing the mathematical model with respect to several variables it is found that in addition to adhering, tearing, ploughing, etc., asperities workpiece can move wave-like along the surface layer and under certain circumstances they may disappear. If the asperities wavily move along the surface layer the friction coefficient depends on the geometry of asperities. However, the bonding strength of asperities, has no significant influence on friction coefficient. The depth of the plastic deformation layer is related to the geometry of asperities, too. The soundness of the prerequisite of the proposed model and some analytical results were verified by experiments.
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  • [1]
    (1) Tabor,D.,Friction——the present state of our under-standing,ASME Journal of Lubrication Technology,Vol.103,No.2,April(1981),pp.169-179.
    [2]
    (2) Edwards,C.M.and J.Halling,An analysis of the plastic interaction on surface asperities and its relevance to the value of the coefficient of friction,Journal of Mechanical Engineering Science,Vol.10,No.2,April(1968),pp.101-110.
    [3]
    (3) Wanheim,T.and T.Abildgaard,A mechanism for metallic friction,ICPE Conference,Tokyo,Japan,August(1980).
    [4]
    (4) Avitzur,B.,Metal Forming: Processes and Analysis,Robert E.Krieger Publishing CO.,Huntington,New York,(1979).
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